12833832 has 64 divisors (see below), whose sum is σ = 35328960. Its totient is φ = 3852800.

The previous prime is 12833789. The next prime is 12833869. The reversal of 12833832 is 23833821.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12833832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45532 + ... + 45812.

It is an arithmetic number, because the mean of its divisors is an integer number (552015).

Almost surely, 2^12833832 is an apocalyptic number.

12833832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12833832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664480).

12833832 is an abundant number, since it is smaller than the sum of its proper divisors (22495128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12833832 is a wasteful number, since it uses less digits than its factorization.

12833832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12833832 is about 3582.4338095769. The cubic root of 12833832 is about 234.1273322622.

It can be divided in two parts, 1283 and 3832, that added together give a palindrome (5115).

The spelling of 12833832 in words is "twelve million, eight hundred thirty-three thousand, eight hundred thirty-two".